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- Section 4, Question 23
Fractal geometry is a mathematical theory devoted to(468 more words not shown)
In the first paragraph, the(11 more words not shown)
- Ashow how fractal(7 more words not shown)
- Bgive an example(11 more words not shown)
- Canticipate the objection(8 more words not shown)
- Dillustrate the concept(2 more words not shown)
- Eprovide an exact(3 more words not shown)
Reading the passage
The opening describes self-similarity in fairly abstract terms. Then the Koch curve gives us an example we can work through: replace the middle third, repeat on every new segment, and keep going.
What we’re looking for
My rough prediction is that the construction helps explain what a fractal is. Let's look for a choice that identifies what the example actually shows.
Working the answers
- A
Building one fractal from line segments doesn't show that the whole field can be reduced to traditional geometry. No such reduction is argued here.
- B
This is a mathematically constructed curve. It isn't introduced as an observed natural form such as a cloud.
- C
The description teaches the concept at the beginning. It isn't presented as a reply to the later criticism that the field needs a precise system of theorems and proofs.
- DCorrect
This makes our prediction more specific: the example illustrates self-similarity. Applying the same operation to each smaller segment creates parts resembling the larger pattern. The next paragraph explicitly explains that connection between the construction and self-similarity.
- E
The writer has just said an exact definition of fractals hasn't been established. Giving an example with a common property is different from supplying that missing definition.
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